48 citations · 197 across the 27 of their papers we have counts for
30 papers
McKay quivers and Lusztig algebras of some finite groups
Ragnar-Olaf Buchweitz, Eleonore Faber, Colin Ingalls +1
We are interested in the McKay quiver and skew group rings , where is a finite subgroup of , where is a finite dimensional vector space over a f…
The magic square of reflections and rotations
Ragnar-Olaf Buchweitz, Eleonore Faber, Colin Ingalls
We show how Coxeter's work implies a bijection between complex reflection groups of rank two and real reflection groups in . We also consider this magic square of reflections…
Tilting theory for Gorenstein rings in dimension one
Ragnar-Olaf Buchweitz, Osamu Iyama, Kota Yamaura
For a -graded Gorenstein ring , we study the stable category of -graded maximal Cohen-Macaulay -modules, which is canonically triangle equivalent to the singula…
A McKay correspondence for reflection groups
Ragnar-Olaf Buchweitz, Eleonore Faber, Colin Ingalls
We construct a noncommutative desingularization of the discriminant of a finite reflection group as a quotient of the skew group ring . If is generated by order two…
Noncommutative resolutions of discriminants
Ragnar-Olaf Buchweitz, Eleonore Faber, Colin Ingalls
We give an introduction to the McKay correspondence and its connection to quotients of by finite reflection groups. This yields a natural construction of noncommutat…
Moore Matrices and Ulrich Bundles on an Elliptic Curve
Ragnar-Olaf Buchweitz, Alexander Pavlov
We give normal forms of determinantal representations of a smooth projective plane cubic in terms of Moore matrices. Building on this, we exhibit matrix factorizations for all inde…